How many solutions does the system of equations have? y=−2x+12 4y+x−20=0

Answer 1

In order to determine the number of solutions for this system of equations, we need to find the intersection point of the two lines represented by the equations.

First, let's solve the system of equations:

Substitute the value of y from the first equation into the second equation:
4*(-2x + 12) + x - 20 = 0
-8x + 48 + x - 20 = 0
-7x + 28 = 0
-7x = -28
x = 4

Substitute the value of x into the first equation to find y:
y = -2*(4) + 12
y = -8 + 12
y = 4

Therefore, the system of equations has one solution.

Answer 2

Are you positive?

Answer 3

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